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Finding the Third Proportional to 162,644 and 352,436

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Solution

The third proportional to 162,644 and 352,436 is: 763,699.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,644 : 352,436 = 352,436 : x
  2. Step 2: Convert to fraction form
    162,644/352,436 = 352,436/x
  3. Step 3: Cross multiply
    162,644x = 352,436 × 352,436
  4. Step 4: Simplify right side
    162,644x = 124,211,134,096
  5. Step 5: Solve for x
    x = 124,211,134,096/162,644
  6. Step 6: Final answer
    x = 763,699.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.